Nonlinear improvements of quasi-interpolanting splines to approximate piecewise smooth functions

Francesc Aràndiga, Rosa Donat and Sergio López-Ureña

Applied Mathematics and Computation, 2023, vol. 448, issue C

Abstract: Quasi-interpolation based on B-spline approximation methods are used in numerous applications. However, we observe that the Gibbs phenomenon appears when approximating near discontinuities. We present nonlinear modifications, based on weighted essentially non-oscillatory (WENO) techniques, of well-known quasi-interpolation methods to avoid this phenomena near discontinuities and, at the same time, maintain the high-order accuracy in smooth regions.

Keywords: Spline quasi-interpolation; WENO; Piecewise smooth functions approximation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323001157

DOI: 10.1016/j.amc.2023.127946

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